\[ 2 y'(x)+(x+4) y''(x)+(2 x-1) y^{(3)}(x)=0 \] ✓ Mathematica : cpu = 0.64856 (sec), leaf count = 87
\[\left \{\left \{y(x)\to \int _1^x\left (\frac {e^{-\frac {K[1]}{2}} c_1 \left (1+\frac {1}{4 \left (\frac {K[1]}{2}-\frac {1}{4}\right )}\right )}{\sqrt [4]{\frac {K[1]}{2}-\frac {1}{4}}}+e^{-\frac {K[1]}{2}} c_2 L_{-\frac {1}{4}}^{\frac {5}{4}}\left (\frac {K[1]}{2}-\frac {1}{4}\right )\right )dK[1]+c_3\right \}\right \}\] ✓ Maple : cpu = 0.589 (sec), leaf count = 38
\[ \left \{ y \left ( x \right ) ={ \left ( {\it \_C3}+\int \!{(2\,{\it \_C1}\,x+{\it \_C2}){{\rm e}^{{\frac {x}{2}}}} \left ( 2\,x-1 \right ) ^{-{\frac {3}{4}}}}\,{\rm d}x \right ) {{\rm e}^{-{\frac {x}{2}}}}{\frac {1}{\sqrt [4]{2\,x-1}}}} \right \} \]